Answer: 4 herz is the answer!
Explanation:
To solve this problem we will apply the concepts related to wave velocity as a function of the tension and linear mass density. This is

Here
v = Wave speed
T = Tension
= Linear mass density
From this proportion we can realize that the speed of the wave is directly proportional to the square of the tension

Therefore, if there is an increase in tension of 4, the velocity will increase the square root of that proportion
The factor that the wave speed change is 2.
To solve this problem we will apply the linear motion kinematic equations. From the definition of the final velocity, as the sum between the initial velocity and the product between the acceleration (gravity) by time, we will find the final velocity. From the second law of kinematics, we will find the vertical position traveled.

Here,
v = Final velocity
= Initial velocity
g = Acceleration due to gravity
t = Time
At t = 4s, v = -30m/s (Downward)
Therefore the initial velocity will be


Now the position can be calculated as,

When it has the ground, y=0 and the time is t=4s,


Therefore the cliff was initially to 41.6m from the ground
Answer:
(a) 
(b) 
Explanation:
(a) We use Newton's law of universal gravitation, in order to calculate the gravitational force between electron and proton:

Where G is the Cavendish gravitational constant,
and
are the masses of the electron and the proton respectively and r is the distance between them:

The minus sing indicates that the force is repulsive. Thus, its magnitude is:

(b) We use Coulomb's law, in order to calculate the electric force between electron and proton, here k is the Coulomb constant and e is the elementary charge:

Its magnitude is:

Answer:
The amount that is "vented" out by "the fans" is <u>$0.50</u> for 10 hours.
Option: a
<u>Explanation</u>:
"Energy discharged by air in every hour" can be determined by,

Q = heat energy (Joules, J)
m = mass of a substance (kg)
c = specific heat (units J/kg∙K)




∆T = 10 hours

Q = 576 × 1.00 × 10
Q = 5760 kJ/hours
W = 1.6 kwh
We know that, “Coefficient of performance” (COP)


Given that, COP = 3.2

W = 0.5 kwh
The unit cost of electricity is $0.10/kWh
The unit cost of electricity is $0.10/kWh
Unit electricity cost for 10 hours = 0.5 × 10 × 0.1$
Unit electricity cost for 10 hours = $0.5
The amount that is "vented out" by "the fans" is $0.50 for 10 hours.